Question

12. Ben says

"the difference between two consecutive square numbers is always odd."
Is Ben correct?

Answer 1

Yes Ben is correct

Explanation:

For example:

If n² is the greater of the two consecutive square numbers, then the difference will be 2n-1. So for example, if you have two consecutive squares with the values of 25, and 36, their difference will be 11. Notice though that 11=2×6–1, so it conforms to 2n-1.